Following this approach, in this article, we have considered a variety of cosmological models and their various extensions in the curved background, namely, the standard \(\Lambda \) CDM, \(w\) CDM, the Chevallier-Polarski-Linder parametrization [1]}, [2]}, where the dark energy has a dynamical equation of state parameter, and lastly a recently introduced emergent dark energy model, known as the phenomenologically emergent dark energy model [3]}, [4]}. The models, together with their extensions in the neutrino sector, characterized by their total mass and the effective number of species as free parameters, have been constrained consistently using the CMB
data from Planck 2018, Baryon Acoustic Oscillations distance measurements, and the Pantheon sample of the Type Ia Supernovae and a Gaussian prior.
This work is complementary to similar approaches used in Refs. [5]}, [6]}, [7]}, [8]}, but differs in the light of combination of parameters explored, observational datasets, and the extended analysis in the dark energy sector.
